Download or read book Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1952 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1952 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1875 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory written by Chester Snow and published by . This book was released on 1961 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Associated Legendre Functions and Their Applications written by Nina Opanasivna Virchenko and published by World Scientific. This book was released on 2001 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ?Fq, Meijer's G-function, Fox's H-function, etc.Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm, n?(z) and Qm, n?(z), which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legnedre functions as their series representations, asymptotic formulas in a neighborhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions.The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions Pm, n?(z) and Qm, n?(z), the classes of dual and triple integral equations associated with the function Pm, n-1/2+i?(chà) etc.
Download or read book Handbook of Mathematical Formulas and Integrals written by Alan Jeffrey and published by Elsevier. This book was released on 2014-05-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: If there is a formula to solve a given problem in mathematics, you will find it in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The Handbook covers important formulas, functions, relations, and methods from algebra, trigonometric and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Based on Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, Fifth Edition (edited by Jeffrey), but far more accessible and written with particular attention to the needs of students and practicing scientists and engineers, this book is an essential resource. Affordable and authoritative, it is the first place to look for help and a rewarding place to browse.Special thumb-tab index throughout the book for ease of useAnswers are keyed to the type of problem they solveFormulas are provided for problems across the entire spectrum of MathematicsAll equations are sent from a computer-checked source codeCompanion to Gradshteyn: Table of Integrals, Series, and Products, Fifth EditionThe following features make the Handbook a Better Value than its Competition:Less expensiveMore comprehensiveEquations are computer-validated with Scientific WorkPlace(tm) and Mathematica(r)Superior quality from one of the most respected names in scientific and technical publishingOffers unique thumb-tab indexing throughout the book which makes finding answers quick and easy
Download or read book Asymptotic Spreading for General Heterogeneous Fisher KPP Type Equations written by Henri Berestycki and published by American Mathematical Society. This book was released on 2022-11-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Heun s Differential Equations written by F. M. Arscott and published by Clarendon Press. This book was released on 1995 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heun's equation is a second-order differential equation which crops up in a variety of forms in a wide range of problems in applied mathematics. These include integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. This volume brings together important research work for the first time, providing an important resource for all those interested in this mathematical topic. Both the current theory and the main areas of application are surveyed, and includes contributions from authoritative researchers.
Download or read book Publications of the National Bureau of Standards 1901 to June 30 1947 written by United States. National Bureau of Standards and published by . This book was released on 1948 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book National Bureau of Standards Circular written by United States. National Bureau of Standards and published by . This book was released on 1966 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Publications written by United States. National Bureau of Standards and published by . This book was released on 1947 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Publications of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1947 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Circular of the National Bureau of Standards written by and published by . This book was released on 1945 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Supplementary List of Publications of the National Bureau of Standards written by and published by . This book was released on 1958 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Slip Casting of Clay Pots for the Manufacture of Optical Glass at the National Bureau of Standards written by United States. Bureau of Standards and published by . This book was released on 1944 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Foundations of Acoustics written by Eugen Skudrzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.
Download or read book Projects and Publications written by United States. National Bureau of Standards. National Applied Mathematics Laboratories and published by . This book was released on 1949 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:
